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Finding the Fourth Proportional to 5,103.62, 7,657.34 and 3,475.52

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Solution

The fourth proportional to 5,103.62, 7,657.34 and 3,475.52 is: 5,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.62 : 7,657.34 = 3,475.52 : x
  2. Step 2: Convert to fraction form
    5,103.62/7,657.34 = 3,475.52/x
  3. Step 3: Cross multiply
    5,103.62x = 7,657.34 × 3,475.52
  4. Step 4: Simplify right side
    5,103.62x = 26,613,182.65
  5. Step 5: Solve for x
    x = 26,613,182.65/5,103.62
  6. Step 6: Final answer
    x = 5,214.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.